Answer: adult = $11
Child = $8.5
Step-by-step explanation:
Let the cost of an adult ticket be a
Let the cost of child ticket be c.
From the question,
3a + 4c = $67 ....... i
5a + 6c = $106 ...... ii
Multiply equation I by 5
Multiply equation ii by 3
15a + 20c = $335
- 15a + 18c = $318
2c = $17
C = $17/2 = $8.5
Put the value of c into
3a + 4c = $67
3a + 4($8.5) = $67
3a + $34 = $67
3a = $67 - $34
3a = $33
a = $11
Cost of adult ticket = $11
cost of child ticket = $8.5
From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.
Answer:
Train =9 hours
Bus =12 hours
Step-by-step explanation:
Find attached the solution
Let the time taken by train be x
So the time taken by bus = 3+x
Speed of train =79 mph
Speed of bus = 59.25mph
Round 7,954 to the place named.
Answer:
8.0
Step-by-step explanation:
Answer:
8.0, 7.95, 8.0
Step-by-step explanation:
I don't know how I'm supposed to explain this but um. Yeah those are the answers
Which angles are vertical angles?
Answer:
<DCA and <BCF
Step-by-step explanation:
The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.
When two lines cross, two angles that are vertical two one another are equal. They are know as vertically opposite angles. When two straight lines cross each other, four angles are produced. The two vertically opposite have the same values.PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?
Answer:
75x+160<760
Step-by-step explanation:
uhh it should be that if it´s not i´m sorry
Answer:
75x+160>760
Step-by-step explanation:
help me please, it’s urgent. i know how to solve this but how does the equation go?
Answer:
Equation:
10x-5= 4x+25
And x=5
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.
Answer:
a) R=P+C
b) $870
Step-by-step explanation:
a)
since P=R-C we can do the following to solve the equation for R:
P=R-C
P+C=R-C+C (add C to both sides to get R by itself)
P+C=R
b) P=350 C=520
since R=P+C,
R=350+520
R=870
Answer:
Use the new formula to find the value of R given that
Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answer:
A number line with a closed circle on 6 and shaded to the right.
Step-by-step explanation:
Answer:a number line with a closed circle on 6 and shading to the right
Step-by-step explanation:I think I’m right! Good luck
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
Enter your answer, as a decimal, in the box.
Answer:
-3.75 and oof i got it wrong i put 3.75
Step-by-step explanation:
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2
Answer:
282
Step-by-step explanation:
322- 5(4)2
322-40
282
PLEASE HELP! WILL MARK BRAINLIEST
Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!
Evaluate the expression 4.02 + 3y for x = 5 and y =6
Lines Project Journal
need help for number 3
Answer:
Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.
Example:
Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).
First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.
We have: |-2-(-7)| = |5| = 5.
Then repeat with the y-coordinates.
We have: |8-(-5)| = |13| = 13.
NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.
Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:
[tex]5^{2}[/tex] + [tex]13^{2}[/tex] = 25 + 169 = 194
Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:
[tex]\sqrt(194)[/tex] = 13.93
By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.
The general formula for distance between two points is the following: [tex]\sqrt{x^2+y^{2}[/tex] , where x and y are the change in x and y between the two points.
dose anybody know this? could you provide the step by step
A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price are:
$0.285 for the 10.5 ounce package
$0.272 for the 29.3 ounce package.
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Step-by-step explanation:
From the question:
A 10.5-ounce package costs $2.99.
The unit price = 1 ounce.
10.5 ounce = $2.99
1 ounce = x
10.5 ounce × x = 1 ounce × $2.99
x = 1 ounce × $2.99/10.5 ounce
x = $0.2847619048
The unit price = $0.2847619048
Approximately = $0.285
A 29.3-ounce package costs $7.98.
The unit price = 1 ounce.
29.3 ounce = $7.98
1 ounce = x
29.3 ounce × x = 1 ounce × $7.98
x = 1 ounce × $7.98/29.3 ounce
x = $0.2723549488
The unit price = $0.2723549488
Approximately = $0.272
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Answer: i did this test
Step-by-step explanation:
If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION
Answer:
should be 15 hope I helped you out.
Step-by-step explanation:
Answer:
15 sq unit
Step-by-step explanation:
Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.
the length of the said rectangle will be l = 1 + (-2)
and the breath b = 2 + (-3)
Area= lxb = 15 sq.unit
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.
Answer:
C) is your choice
Step-by-step explanation:
A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.
Answer:
It would be around 5 cents an ounce
Step-by-step explanation:
0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce
How many births occurred among women over the age of 40?
Answer:
66
Step-by-step explanation:
45+17+4
Answer:
66
Step-by-step explanation:
Following the x-axis on the chart, labeled Mother's age (in years), add all the values that happened after age 40 (45 + 17 + 4 = 66)
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x
Option A is correct answer, reflection across y axis
Answer:
A
Step-by-step explanation:
-2 = ( 4 + z ) / -2
I need help answer fast
Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2
Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?
Answer:
Somebody once told me the world is gonna roll me
I ain't the sharpest tool in the shed
She was looking kind of dumb with her finger and her thumb
In the shape of an "L" on her forehead
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Verse 2]
It's a cool place, and they say it gets colder
You're bundled up now, wait 'til you get older
But the meteor men beg to differ
Judging by the hole in the satellite picture
The ice we skate is getting pretty thin
The water's getting warm so you might as well swim
My world's on fire, how 'bout yours?
That's the way I like it and I'll never get bored
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
All that glitters is gold
Only shooting stars break the mold
[Interlude]
Go for the moon
Go for the moon
Go for the moon
Go for the moon
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars
[Verse 3]
Somebody once asked, “could I spare some change for gas?
I need to get myself away from this place"
I said, "Yep, what a concept
I could use a little fuel myself and we could all use a little change"
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go (Go!)
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Outro]
And all that glitters is gold
Only shooting stars break the mold
Step-by-step explanation:
Answer:
4,000%
Step-by-step explanation:
You can solve this problem by using a proportion.
So to start the proportion draw one line then put an equal sign and draw another line.
Then start filling out the proprtion. in proprtions your is and of can make it easier to solve the problem
is $10,000_________= ______________
of 5% 100%
First multiply $10,000 dollars by 100%, you get 200,000%
Then divide 200,000% by 5% and you get 4,000%
Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?
Answer:
18.3
Step-by-step explanation:
384.3 divided by 21
A company that makes hair care products had 6,000 people try a new shampoo of the 6.000
people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction
Using the percentage concept, it is found that 0.2% of the people had a mild allergic reaction.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, 12 out of 6000 people had a reaction, hence:
[tex]P = \frac{12}{6000} \times 100\% = 0.2\%[/tex]
0.2% of the people had a mild allergic reaction.
More can be learned about the percentage concept at https://brainly.com/question/10491646
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
send help pleaseeeeeee
Answer:
The answer is d 1:2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they are similar because AB/DE=BC/EF=CA/FD = 10/20 =6/12 = 7/14 = 1/2
(SSS) the ratio ABC to DEF is 1:2